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Finding the Third Proportional to 45,800 and 96,518

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Solution

The third proportional to 45,800 and 96,518 is: 203,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,800 : 96,518 = 96,518 : x
  2. Step 2: Convert to fraction form
    45,800/96,518 = 96,518/x
  3. Step 3: Cross multiply
    45,800x = 96,518 × 96,518
  4. Step 4: Simplify right side
    45,800x = 9,315,724,324
  5. Step 5: Solve for x
    x = 9,315,724,324/45,800
  6. Step 6: Final answer
    x = 203,400.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.